When Melanie solved the system of equations below, she got the solution x = 4, y = 2. Without solving the system yourself, is her solution correct?
4x + 3y = 22;
x − 2y = 0
What is yes, her solution is correct?
100
A measure of how far a prediction is from what is actually observed.
What is residual?
100
Simplify:
- 9 + 6x^2 + 5x - 3x + 4 + (6x)(x)
What is 12x^2 + 2x - 5?
100
Describe the growth of a geometric sequence.
What is exponential growth?
200
Solve for x: (1/3)x + 4 = x - 2
What is x = 9?
200
Solve for the system:
y = −x − 7;
5y + 3x = −13
What is (–11, 4)?
200
A unique line that has the smallest possible value for the sum of the squares of the residuals
What is Least Square Regression Line or LSRL?
200
Factor: x^2 + 9x + 18
What is (x + 3) (x + 6)?
200
Multiply 6x^10 by 12x^2
What is 72x^12?
300
Solve for | x | < -3
What is x has no solution?
300
Solve for the system:
2x + 2y = 18;
x = 3 − y
What is there is no solution?
300
Interpret what "Correlation coefficient, r = 0.9" mean.
What is a strong positive linear association?
300
(2x + 3)(2x - 3) when simplified, results in a special quadratic.
What is the difference of square?
300
Write a number equivalent to 5^-2 using a positive exponent.
What is 1/25 or 1/(5^2)?
400
Solve for the inequality: x^2 + 2x + 1 < 4.
What is –3 < x < 1?
400
For the system of inequality, what is the solution(s)?
y <= x^2 + x − 6;
y > 2/3 x
What are left and right of the quadractic intersecting the top of the line?
400
Used to measure the spread (the variability) of the middle fifty percent of the data, what can you say about one that's significantly larger than another data?
What is if the IQR is larger, the data is more uniformly spread compared to the other with smaller IQR which peaks mostly near the median?
400
A set made of imaginary and real numbers.
What are Complex numbers?
400
True or false: (x^4)(x^-4) = 1. Explain.
What is x^(4-4) = x^0? Anything raised to the power of zero is 1.
500
Solve for the inequality: | 3x - 2 | > 4
What is x < –2/3 or x > 2?
500
Graph on paper:
y > 3/4 x − 2;
y < −1/2 x + 3
What is "see answer on #9-106"?
500
A set of data has a mean of 50 and a standard deviation of five. If every piece of data is increased by four, what are the new mean and standard deviation of the data?
What is the new mean is 54 and the standard deviation is the same?
500
Solve for (x − 5)^2 = −4.
What is 5 + 2i or 5 − 2i?
500
If the sequence 10, 2x, 3x, … is geometric, what is the value of 2x?